hi
having a similar problem with Queens have noted that if I cut off the stalks they seem to produce more ,larger and more robust while those i let mature have smaller and less numbers ?? Will be watching your ansers as it sure would be nice to stop the mess?? gary

short of either hacking off the flowers as they appear, or killing the palm, I know of no way of stopping this... palms just trying to reproduce.... their most vital goal in life! Maybe you can dig up your palm and move it.

Near a pool?

You need to remove them or move them. They have matured to the point where they will drive you nuts. Starting with the typical #15, you get 7-8 years on a Robellini and 10-12 with a Queen.

Plant a cycad? Sago takes 50+ years to get to that point and are very sellable at that size.